GENERALIZED NILPOTENT BRACES AND NILPOTENT GROUPS

被引:1
|
作者
Dixon, Martyn R. [1 ]
Kurdachenko, Leonid A. [2 ]
Subbotin, Igor YA. [3 ]
机构
[1] Univ Alabama, Dept Math, Tuscaloosa, AL 35487, Brazil
[2] Natl Univ Dnepropetrovsk, Dept Algebra, Fac Math & Mech, Gagarin Prospect 72,Dnipro 10, UA-49010 Dnipro, Ukraine
[3] Natl Univ, Dept Math & Nat Sci, 5245 Pacific Concourse Dr, Los Angeles, CA 90045 USA
基金
英国工程与自然科学研究理事会;
关键词
Brace; nilpotent brace; *- hypercentral brace; locally *- nilpotent brace; BAXTER; RINGS;
D O I
10.22108/ijgt.2023.138490.1860
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors give a brief survey of some results concerning nilpotent braces and their generalizations. Various results concerning *-hypercentral and locally *-nilpotent braces are given.
引用
收藏
页码:25 / 45
页数:21
相关论文
共 50 条
  • [41] EQUATIONS IN NILPOTENT GROUPS
    Duchin, Moon
    Liang, Hao
    Shapiro, Michael
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (11) : 4723 - 4731
  • [42] Recognising nilpotent groups
    Camina, AR
    Camina, RD
    JOURNAL OF ALGEBRA, 2006, 300 (01) : 16 - 24
  • [43] Nilpotent Singer groups
    Gill, Nick
    ELECTRONIC JOURNAL OF COMBINATORICS, 2006, 13 (01):
  • [44] ON UNIVERSAL NILPOTENT GROUPS
    MAIER, BJ
    ALGEBRA UNIVERSALIS, 1989, 26 (02) : 202 - 207
  • [45] RESIDUALLY NILPOTENT GROUPS
    BOWERS, JF
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1975, 11 (SEP): : 1 - 6
  • [46] Nilpotent fuzzy groups
    Gupta, KC
    Sarma, BK
    FUZZY SETS AND SYSTEMS, 1999, 101 (01) : 167 - 176
  • [47] ON ANTICENTER OF NILPOTENT GROUPS
    KAPPE, WP
    ILLINOIS JOURNAL OF MATHEMATICS, 1968, 12 (04) : 603 - &
  • [48] ON A PROPERTY OF NILPOTENT GROUPS
    DOKUCHAEV, M
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1994, 37 (02): : 174 - 177
  • [49] Groups that are Pairwise Nilpotent
    Endimioni, Gerard
    Traustason, Gunnar
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (12) : 4413 - 4435
  • [50] NILPOTENT GROUPS AND AUTOMORPHISMS
    DAUNS, J
    HOFMANN, KH
    ACTA SCIENTIARUM MATHEMATICARUM, 1968, 29 (3-4): : 225 - &